{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib\n",
    "import tensorflow as tf\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.io"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import claude.tx as tx\n",
    "import claude.utils as cu\n",
    "import claude.claudeflow.helper as cfh\n",
    "import claude.claudeflow.systems as cfs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "N          = 2048  # number of symbols per dim\n",
    "sps        = 32    # samples per symbol\n",
    "span       = 256   # filter span\n",
    "rollOff    = 1.0   # rollOff factor\n",
    "\n",
    "M          = 4     # constellation order\n",
    "batch_size = 2     # batch_size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "constellation = tx.qammod(M)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-1, 1)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot( np.real(constellation[0,:]), np.imag(constellation[0,:]), '.' );\n",
    "plt.axis('square');\n",
    "plt.xlim(-1,1)\n",
    "plt.ylim(-1,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "constellation_tf\t Tensor(\"Const:0\", shape=(1, 4), dtype=complex64)\n",
      "X\t\t\t Tensor(\"Placeholder:0\", shape=(?, 16, 2048, 4), dtype=float32)\n",
      "symbols\t\t\t Tensor(\"Squeeze:0\", shape=(?, 16, 2048), dtype=complex64)\n",
      "symbols_up\t\t Tensor(\"Reshape:0\", shape=(?, 16, 65536), dtype=complex64)\n",
      "signal\t\t\t Tensor(\"IFFT:0\", shape=(?, 16, 65536), dtype=complex64)\n",
      "signal_obs\t\t Tensor(\"IFFT_1:0\", shape=(?, 16, 65536), dtype=complex64)\n",
      "symbols_obs\t\t Tensor(\"strided_slice_2:0\", shape=(?, 16, 2048), dtype=complex64)\n"
     ]
    }
   ],
   "source": [
    "constellation_tf = tf.constant(constellation, tf.complex64)\n",
    "X = tf.placeholder(tf.float32, shape=(None, 16, N, M)) # (batch_size, arbitrary dimension, nSamples, constellation-order)\n",
    "print('constellation_tf\\t', constellation_tf)\n",
    "print('X\\t\\t\\t', X)\n",
    "\n",
    "symbols = cfh.QAMencoder(X, constellation_tf, realOutput=False)\n",
    "print('symbols\\t\\t\\t', symbols)\n",
    "\n",
    "symbols_up = cfh.upsample(symbols, sps, N)\n",
    "print('symbols_up\\t\\t', symbols_up)\n",
    "\n",
    "signal = cfh.pulseshaper(symbols_up, rollOff, sps, span, N)\n",
    "print('signal\\t\\t\\t', signal)\n",
    "\n",
    "signal_obs = cfh.pulseshaper(signal, rollOff, sps, span, N)\n",
    "signal_obs = signal_obs\n",
    "print('signal_obs\\t\\t', signal_obs)\n",
    "\n",
    "symbols_obs = cfh.downsample(signal_obs, sps, N)\n",
    "print('symbols_obs\\t\\t', symbols_obs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "x, idx, x_seed = cu.hotOnes((batch_size,16,N), (1,2,3,0), M, seed=None)\n",
    "\n",
    "sess = tf.Session()\n",
    "feedDict = {X:x}\n",
    "[np_symbols, np_signal, np_symbols_obs] = sess.run([symbols, signal, symbols_obs], feed_dict=feedDict)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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f15h2s/jYWlFVfQPYv8wq5wKfr4EdDD5XduxK1zsToTKkxb4OsOTH/qfE86tqH0B3/rwl1jsiyc4kO5JMa/AMc/8/s04NPmrwOIOPEky7YR9bb+meJlyf5EWLLJ81B/Vvahzf/RnKGn4dYKKW269VXM2mqtqb5ETg1iS7quqhNiNsZpj7fyr/RkMYZtxfBa6pqieTvIvBEdlZaz6ytXVQf6+pCZVau68DTNRy+5Xkh0mOrap93WHlI0tcx97u/OEktwOnM3iOP02Guf/n19mT5FDguSx/+D0tVty3qvpxb/IfGfysx6w7qH9T6+npz6JfB5jwmFayncHXE2CJrykk2ZDk8O7yRuBM4P6xjXB4w9z//f09H7i1ulcEp9yK+7bgtYbNDD49Puu2A2/v3gV6JfD4/NP1ZU36FeghX6V+M4PUfBL4IXBTN/8FwI0LXq3+LoP/xT846XEPsV9HA7cAD3bnR3Xz54BPd5d/B9jF4B2HXcDFkx73MvtzwP0PXAZs7i4fAXwZ2A18Czhx0mNuuG9/DdzX/Z1uA06e9JiH2KdrgH3Az7t/XxcD7wLe1S0Pgx9Ye6h77C36zuvCkx/Tl9TUenr6I2kKGCqSmjJUJDVlqEhqylCR1JShIqkpQ0VSU/8Py1rW/61ZqCYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(np.real(np_symbols[0,0,:]), np.imag(np_symbols[0,0,:]), '.')\n",
    "plt.axis('square');\n",
    "plt.xlim(-1,1);\n",
    "plt.ylim(-1,1);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(np.real(np_symbols_obs[0,0,:]), np.imag(np_symbols_obs[0,0,:]), '.')\n",
    "plt.axis('square');\n",
    "plt.xlim(-1,1);\n",
    "plt.ylim(-1,1);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(np.sqrt(sps)*np.real(np_signal[0,0,0:50*sps]), np.sqrt(sps)*np.imag(np_signal[0,0,0:50*sps]))\n",
    "plt.axis('square');\n",
    "lim = 1.6\n",
    "plt.xlim(-lim,lim);\n",
    "plt.ylim(-lim,lim);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sps2 = int(sps/2)\n",
    "eye = np.reshape(np.real(np_signal[0,0,sps2:-sps2]),(N-1,sps)).T\n",
    "plt.plot(eye);"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
